25 citations · 83 across the 20 of their papers we have counts for
21 papers
Bilateral Bailey Lattices and Andrews-Gordon Type Identities
Jehanne Dousse, Frédéric Jouhet, Isaac Konan
We show that the Bailey lattice can be extended to a bilateral version in just a few lines from the bilateral Bailey lemma, using a very simple lemma transforming bilateral Bailey…
Cyclotomic valuation of -Pochhammer symbols and -integrality of basic hypergeometric series
B. Adamczewski, J. P. Bell, É. Delaygue +1
We give a formula for the cyclotomic valuation of -Pochhammer symbols in terms of (generalized) Dwork maps. We also obtain a criterion for the -integrality of basic hypergeom…
New companions to the Andrews--Gordon identities motivated by commutative algebra
Pooneh Afsharijoo, Jehanne Dousse, Frédéric Jouhet +1
We give a proof of a recent combinatorial conjecture due to the first author, which was discovered in the framework of commutative algebra. This result gives rise to new companions…
Block number, descents and Schur positivity of fully commutative elements in
Eli Bagno, Riccardo Biagioli, Frédéric Jouhet +1
The distribution of Coxeter descents and block number over the set of fully commutative elements in the hyperoctahedral group , $\FC(B_n)$, is studied in this paper. We prove…
321-avoiding affine permutations and their many heaps
Riccardo Biagioli, Frédéric Jouhet, Philippe Nadeau
We study -avoiding affine permutations, and prove a formula for their enumeration with respect to the inversion number by using a combinatorial approach. This is done in two d…
Congruences modulo cyclotomic polynomials and algebraic independence for -series
Boris Adamczewski, Jason P. Bell, Éric Delaygue +1
We prove congruence relations modulo cyclotomic polynomials for multisums of -factorial ratios, therefore generalizing many well-known -Lucas congruences. Such congruences co…